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Finding the Third Proportional to 30,427.50 and 45,513

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Solution

The third proportional to 30,427.50 and 45,513 is: 68,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427.50 : 45,513 = 45,513 : x
  2. Step 2: Convert to fraction form
    30,427.50/45,513 = 45,513/x
  3. Step 3: Cross multiply
    30,427.50x = 45,513 × 45,513
  4. Step 4: Simplify right side
    30,427.50x = 2,071,433,169
  5. Step 5: Solve for x
    x = 2,071,433,169/30,427.50
  6. Step 6: Final answer
    x = 68,077.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.